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# Find the solution of the exponential equation: 4^8x = 16^x+8 I have tried starting by using exponent laws and breaking the equation down into: 4^8x=...

Find the solution of the exponential equation:

4^8x = 16^x+8

I have tried starting by using exponent laws and breaking the equation down into:
4^8x= 16^x * 16^8

...but now I'm stuck. I've been looking at this problem so long and tried multiple angles and I feel like I'm over thinking it. Is this on the right track? What would my next step be?

. One way- To find the solution of the equation - 48 x = 16( x+8) 48 x = (4 2 ) ( x+8) ( as 16 = 4 2 ) 48 x = 4( 2 x+16 ) (because (a m ) n = a mn ) Since the base are the same equating the exp...

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